Least Common Multiple of 5060 and 5067

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5060 and 5067 the smallest integer that is 25639020 that is divisible by both numbers.

Least Common Multiple (LCM) of 5060 and 5067 is 25639020.

LCM(5060,5067) = 25639020

LCM of 5060 and 5067

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 5060 and 5067

LCM of 5060 and 5067 is 25639020

Least common multiple can be found by multiplying the highest exponent prime factors of 5060 and 5067. First we will calculate the prime factors of 5060 and 5067.

Prime Factorization of 5060


2 5060
2 2530
5 1265
11 253
23 23
1

Prime factors of 5060 are 2, 5, 11,23. Prime factorization of 5060 in exponential form is:

5060 = 22×51×111×231

Prime Factorization of 5067


3 5067
3 1689
563 563
1

Prime factors of 5067 are 3,563. Prime factorization of 5067 in exponential form is:

5067 = 32×5631

Now multiplying the highest exponent prime factors to calculate the LCM of 5060 and 5067.

LCM(5060,5067) = 22×32×51×111×231×5631
LCM(5060,5067) = 25639020

Factors of 5060

List of positive integer factors of 5060 that divides 5060 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 23, 44, 46, 55, 92, 110, 115, 220, 230, 253, 460, 506, 1012, 1265, 2530, 5060

Factors of 5067

List of positive integer factors of 5067 that divides 5067 without a remainder.

1, 3, 9, 563, 1689, 5067

Least Common Multiple of 5060 and 5067 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5060 and 5067, than apply into the LCM equation.

GCF(5060,5067) = 1
LCM(5060,5067) = ( 5060 × 5067) / 1
LCM(5060,5067) = 25639020 / 1
LCM(5060,5067) = 25639020

Properties of LCM 5060 and 5067

(i) The LCM of 5067 and 5060 is associative

LCM of 5060 and 5067 = LCM of 5067 and 5060

Related Least Common Multiples of 5060

Related Least Common Multiples of 5067

Frequently Asked Questions on LCM of 5060 and 5067

1. What is the LCM of 5060 and 5067?

Answer: LCM of 5060 and 5067 is 25639020.

2. What are the Factors of 5060?

Answer: Factors of 5060 are 1, 2, 4, 5, 10, 11, 20, 22, 23, 44, 46, 55, 92, 110, 115, 220, 230, 253, 460, 506, 1012, 1265, 2530, 5060. There are 24 integers that are factors of 5060. The greatest factor of 5060 is 5060.

3. What are the Factors of 5067?

Answer: Factors of 5067 are 1, 3, 9, 563, 1689, 5067. There are 6 integers that are factors of 5067. The greatest factor of 5067 is 5067.

4. How to Find the LCM of 5060 and 5067?

Answer:

Least Common Multiple of 5060 and 5067 = 25639020

Step 1: Find the prime factorization of 5060

5060 = 2 x 2 x 5 x 11 x 23

Step 2: Find the prime factorization of 5067

5067 = 3 x 3 x 563

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 25639020 = 2 x 2 x 3 x 3 x 5 x 11 x 23 x 563

Step 4: Therefore, the least common multiple of 5060 and 5067 is 25639020.